Edit Profile (opens in new tab) Kristensen, Simon Compute Distance To: Compute Author ID: kristensen.simon Published as: Kristensen, Simon; Kristensen, S. Homepage: http://home.math.au.dk/sik/ External Links: MGP · ORCID · Google Scholar Documents Indexed: 28 Publications since 2001 Reviewing Activity: 173 Reviews Co-Authors: 15 Co-Authors with 18 Joint Publications 192 Co-Co-Authors all top 5 Co-Authors 8 single-authored 5 Dodson, Michael Maurice 5 Hussain, Mumtaz 3 Bugeaud, Yann 3 Levesley, Jason 2 Andersen, Simon Bruno 2 Harrap, Stephen B. 2 Velani, Sanju L. 1 Beresnevich, Victor V. 1 Esdahl-Schou, R. 1 Fischler, Stéphane 1 Jaššová, Alena 1 Lertchoosakul, Poj 1 Mathiasen, Oskar 1 Pedersen, Steffen H. 1 Simmons, David 1 Thorn, Rebecca all top 5 Serials 2 Advances in Mathematics 2 Journal of Number Theory 2 Indagationes Mathematicae. New Series 2 International Journal of Number Theory 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Physics Letters. A 1 Arkiv för Matematik 1 Acta Arithmetica 1 Glasgow Mathematical Journal 1 Mathematica Scandinavica 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publicationes Mathematicae Debrecen 1 Journal de Théorie des Nombres de Bordeaux 1 The Ramanujan Journal 1 The Quarterly Journal of Mathematics 1 Uniform Distribution Theory 1 Moscow Journal of Combinatorics and Number Theory Fields 27 Number theory (11-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Partial differential equations (35-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 138 times in 110 Documents Cited by ▼ Year ▼ Diophantine approximation and badly approximable sets. Zbl 1098.11039Kristensen, Simon; Thorn, Rebecca; Velani, Sanju 35 2006 On well-approximable matrices over a field of formal series. Zbl 1088.11056Kristensen, Simon 18 2003 On shrinking targets for \(\mathbb Z\) actions on tori. Zbl 1227.11095Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju 17 2010 Hausdorff dimension and Diophantine approximation. Zbl 1196.11104Dodson, Maurice M.; Kristensen, Simon 8 2004 Metrical results on systems of small linear forms. Zbl 1311.11074Hussain, M.; Kristensen, S. 8 2013 Badly approximable systems of linear forms in absolute value. Zbl 1371.11117Hussain, M.; Kristensen, S. 6 2013 A converse to linear independence criteria, valid almost everywhere. Zbl 1387.11062Fischler, S.; Hussain, M.; Kristensen, S.; Levesley, J. 6 2015 On badly approximable complex numbers. Zbl 1211.11090Esdahl-Schou, R.; Kristensen, S. 5 2010 Approximating numbers with missing digits by algebraic numbers. Zbl 1161.11024Kristensen, Simon 4 2006 Badly approximable systems of linear forms over a field of formal series. Zbl 1161.11366Kristensen, Simon 4 2006 Zero-infinity laws in diophantine approximation. Zbl 1204.11117Bugeaud, Y.; Dodson, M. M.; Kristensen, S. 4 2005 An inhomogeneous wave equation and non-linear Diophantine approximation. Zbl 1202.35120Beresnevich, V.; Dodson, M. M.; Kristensen, S.; Levesley, J. 3 2008 Diophantine approximation and the solubility of the Schrödinger equation. Zbl 1040.35082Kristensen, Simon 3 2003 Metric inhomogeneous Diophantine approximation in positive characteristic. Zbl 1260.11050Kristensen, S. 3 2011 A quantitative Khintchine-Groshev type theorem over a field of formal series. Zbl 1089.11039Dodson, M. M.; Kristensen, S.; Levesley, J. 3 2005 A problem in non-linear Diophantine approximation. Zbl 1443.11154Harrap, Stephen; Hussain, Mumtaz; Kristensen, Simon 2 2018 A metric theorem for restricted Diophantine approximation in positive characteristic. Zbl 1154.11021Kristensen, Simon 2 2006 Metric Diophantine approximation – from continued fractions to fractals. Zbl 1416.11129Kristensen, Simon 2 2016 Metrical theorems on systems of affine forms. Zbl 1464.11074Hussain, Mumtaz; Kristensen, Simon; Simmons, David 2 2020 Metrical musings on Littlewood and friends. Zbl 1327.11050Haynes, A.; Jensen, J. L.; Kristensen, S. 2 2014 On recurrence in positive characteristic. Zbl 1317.11127Kristensen, S.; Jaššová, A.; Lertchoosakul, P.; Nair, R. 1 2015 Metrical theorems on systems of affine forms. Zbl 1464.11074Hussain, Mumtaz; Kristensen, Simon; Simmons, David 2 2020 A problem in non-linear Diophantine approximation. Zbl 1443.11154Harrap, Stephen; Hussain, Mumtaz; Kristensen, Simon 2 2018 Metric Diophantine approximation – from continued fractions to fractals. Zbl 1416.11129Kristensen, Simon 2 2016 A converse to linear independence criteria, valid almost everywhere. Zbl 1387.11062Fischler, S.; Hussain, M.; Kristensen, S.; Levesley, J. 6 2015 On recurrence in positive characteristic. Zbl 1317.11127Kristensen, S.; Jaššová, A.; Lertchoosakul, P.; Nair, R. 1 2015 Metrical musings on Littlewood and friends. Zbl 1327.11050Haynes, A.; Jensen, J. L.; Kristensen, S. 2 2014 Metrical results on systems of small linear forms. Zbl 1311.11074Hussain, M.; Kristensen, S. 8 2013 Badly approximable systems of linear forms in absolute value. Zbl 1371.11117Hussain, M.; Kristensen, S. 6 2013 Metric inhomogeneous Diophantine approximation in positive characteristic. Zbl 1260.11050Kristensen, S. 3 2011 On shrinking targets for \(\mathbb Z\) actions on tori. Zbl 1227.11095Bugeaud, Yann; Harrap, Stephen; Kristensen, Simon; Velani, Sanju 17 2010 On badly approximable complex numbers. Zbl 1211.11090Esdahl-Schou, R.; Kristensen, S. 5 2010 An inhomogeneous wave equation and non-linear Diophantine approximation. Zbl 1202.35120Beresnevich, V.; Dodson, M. M.; Kristensen, S.; Levesley, J. 3 2008 Diophantine approximation and badly approximable sets. Zbl 1098.11039Kristensen, Simon; Thorn, Rebecca; Velani, Sanju 35 2006 Approximating numbers with missing digits by algebraic numbers. Zbl 1161.11024Kristensen, Simon 4 2006 Badly approximable systems of linear forms over a field of formal series. Zbl 1161.11366Kristensen, Simon 4 2006 A metric theorem for restricted Diophantine approximation in positive characteristic. Zbl 1154.11021Kristensen, Simon 2 2006 Zero-infinity laws in diophantine approximation. Zbl 1204.11117Bugeaud, Y.; Dodson, M. M.; Kristensen, S. 4 2005 A quantitative Khintchine-Groshev type theorem over a field of formal series. Zbl 1089.11039Dodson, M. M.; Kristensen, S.; Levesley, J. 3 2005 Hausdorff dimension and Diophantine approximation. Zbl 1196.11104Dodson, Maurice M.; Kristensen, Simon 8 2004 On well-approximable matrices over a field of formal series. Zbl 1088.11056Kristensen, Simon 18 2003 Diophantine approximation and the solubility of the Schrödinger equation. Zbl 1040.35082Kristensen, Simon 3 2003 all cited Publications top 5 cited Publications all top 5 Cited by 126 Authors 13 Fishman, Lior 11 Simmons, David 10 Hussain, Mumtaz 10 Kristensen, Simon 8 Kleinbock, Dmitry Ya. 7 Bugeaud, Yann 7 Wang, Baowei 6 Broderick, Ryan 5 Ghosh, Anish 5 Harrap, Stephen B. 5 Levesley, Jason 4 Beresnevich, Victor V. 4 Velani, Sanju L. 4 Weiss, Barak 4 Wu, Jun 3 Badziahin, Dzmitry A. 3 Dodson, Michael Maurice 3 Fischler, Stéphane 3 Moshchevitin, Nikolay G. 3 Wang, Weiliang 3 Xu, Jian 3 Zhang, Zhenliang 2 Allen, Demi 2 Bakhtawar, Ayreena 2 Bansal, Arpit 2 Bengoechea, Paloma 2 Einsiedler, Manfred Leopold 2 Fuchs, Michael 2 González Robert, Gerardo 2 Li, Lu 2 Lü, Meiying 2 Ma, Chao 2 Seuret, Stéphane 2 Shapira, Uri 2 Singhal, L. C. 2 Urbański, Mariusz 2 Yu, Yueli 1 An, Jinpeng 1 Athreya, Jayadev S. 1 Baier, Stephan 1 Barral, Julien 1 Bos, Philip 1 Bromberg, Michael 1 Chen, Huayang 1 Chen, Shuyi 1 Chow, Sam 1 Coons, Michael 1 Das, Tushar Kanti 1 De Saxcé, Nicolas 1 Deligero, Eveyth P. 1 Durand, Arnaud 1 Dymond, Michael 1 Elekes, Márton 1 Esdahl-Schou, R. 1 Everitt, Brent 1 Feng, Yan 1 Ganguly, Arijit 1 Gao, Peng 1 Gorodnik, Alexander 1 Guan, Lifan 1 Hattori, Toshiaki 1 Haynes, Alan K. 1 Hu, Hui 1 Hu, Xuehai 1 Il’kiv, Volodymyr Stepanovych 1 Jing, Huiping 1 Jitomirskaya, Svetlana Yakovlevna 1 Jørgensen, Palle E. T. 1 Kehle, Christoph 1 Keleti, Tamás 1 Kim, Donghan 1 Kim, Taehyeong 1 Kim, Wooyeon 1 Koivusalo, Henna 1 Kwon, Sanghoon 1 Li, Bing 1 Liao, Lingmin 1 Lim, Seonhee 1 Liu, Wencai 1 Lukyanenko, Anton 1 Ly, Tue 1 Lytle, Beverly 1 Mahboubi, Seyyed Hassan 1 Marcovecchio, Raffaele 1 Merrill, Keith 1 Motahari, Abolfazl Seyed 1 Nair, Radhakrishnan B. 1 Nakada, Hitoshi 1 Nasr, Entesar 1 Nesharim, Erez 1 Olsen, Lars Ole Ronnow 1 Persson, Tomas 1 Pollington, Andrew Douglas 1 Prasad, Amritanshu 1 Ramírez, Felipe A. 1 Reams, Vanessa 1 Reich, Asaf 1 Renfro, Dave Lawrence 1 Rivoal, Tanguy 1 Rousseau, Jérôme ...and 26 more Authors all top 5 Cited in 46 Serials 8 Advances in Mathematics 8 Finite Fields and their Applications 7 Acta Arithmetica 6 Journal of Number Theory 6 Ergodic Theory and Dynamical Systems 5 International Journal of Number Theory 4 Journal of Mathematical Analysis and Applications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Inventiones Mathematicae 3 Mathematika 3 Monatshefte für Mathematik 3 Journal de Théorie des Nombres de Bordeaux 3 Selecta Mathematica. New Series 2 Israel Journal of Mathematics 2 Functiones et Approximatio. Commentarii Mathematici 2 Glasgow Mathematical Journal 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Discrete and Continuous Dynamical Systems 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the Australian Mathematical Society 1 Nonlinearity 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Commentationes Mathematicae Universitatis Carolinae 1 Compositio Mathematica 1 Journal of Approximation Theory 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Journal of the Ramanujan Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Indagationes Mathematicae. New Series 1 The Ramanujan Journal 1 Journal of the Australian Mathematical Society 1 Analysis and Applications (Singapore) 1 Carpathian Mathematical Publications 1 Journal of Fractal Geometry all top 5 Cited in 23 Fields 101 Number theory (11-XX) 33 Measure and integration (28-XX) 30 Dynamical systems and ergodic theory (37-XX) 4 Topological groups, Lie groups (22-XX) 4 Partial differential equations (35-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year